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Finding the Third Proportional to 500,427 and 1,073,268

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Solution

The third proportional to 500,427 and 1,073,268 is: 2,301,842.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,427 : 1,073,268 = 1,073,268 : x
  2. Step 2: Convert to fraction form
    500,427/1,073,268 = 1,073,268/x
  3. Step 3: Cross multiply
    500,427x = 1,073,268 × 1,073,268
  4. Step 4: Simplify right side
    500,427x = 1,151,904,199,824
  5. Step 5: Solve for x
    x = 1,151,904,199,824/500,427
  6. Step 6: Final answer
    x = 2,301,842.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.